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Finding the Fourth Proportional to 13,882.56, 20,832.48 and 6,097.92

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Solution

The fourth proportional to 13,882.56, 20,832.48 and 6,097.92 is: 9,150.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,882.56 : 20,832.48 = 6,097.92 : x
  2. Step 2: Convert to fraction form
    13,882.56/20,832.48 = 6,097.92/x
  3. Step 3: Cross multiply
    13,882.56x = 20,832.48 × 6,097.92
  4. Step 4: Simplify right side
    13,882.56x = 127,034,796.44
  5. Step 5: Solve for x
    x = 127,034,796.44/13,882.56
  6. Step 6: Final answer
    x = 9,150.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.